How Does η Depend on Masses M and m in Classical Mechanics?

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Homework Statement



I have proved that η does not depend on l, but in the solution the author (classical mechanics by David Morin) claimed that η depends on both of the masses M and m, But i don't understand how, please explain me?

Homework Equations





The Attempt at a Solution

 

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Can you show your proof please? D:
 
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